CSolve Command

CAS Syntax

CSolve( <Equation> )

Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.

Example: CSolve(x^2 = -1) yields {x = ί, x = -ί}, the complex solutions of x² = -1.

CSolve( <Equation>, <Variable> )

Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.

Example: CSolve(a^2 = -1, a) yields {a = ί, a = -ί}, the complex solutions of a² = -1.

CSolve( <List of Equations>, <List of Variables> )

Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions.

Example: CSolve({y^2 = x - 1, x = 2 * y - 1}, {x, y}) yields {{x = 1 - 2 ί, y = 1 + ί}, {x = 1 + 2 ί, y = 1 - ί}}, the complex solutions of y² = x and x = 2 * y - 1.

Notes:

• The complex ί is obtained by pressing ALT + i.
• See also CSolutions Command and Solve Command.